-
after Émile
Borel Borel algebra,
operating on
Borel sets,
named after Émile
Borel, also:
Borel measure, the
measure on a
Borel algebra Borel distribution...
- complement.
Borel sets are
named after Émile
Borel. For a
topological space X, the
collection of all
Borel sets on X
forms a σ-algebra,
known as the
Borel algebra...
- Félix Édouard
Justin Émile
Borel (French: [
bɔʁɛl]; 7
January 1871 – 3
February 1956) was a
French mathematician and politician. As a mathematician, he...
- In real
analysis the Heine–
Borel theorem,
named after Eduard Heine and Émile
Borel, states: For a
subset S of
Euclidean space Rn, the
following two statements...
- in
measure theory, a
Borel measure on a
topological space is a
measure that is
defined on all open sets (and thus on all
Borel sets). Some
authors require...
- theory, the
Borel–Cantelli
lemma is a
theorem about sequences of events. In general, it is a
result in
measure theory. It is
named after Émile
Borel and Francesco...
- Joseph-Pierre
Borel d'Hauterive,
known as
Petrus Borel (26 June 1809 – 14 July 1859), was a
French writer of the
Romantic movement.
Petrus Borel was born at...
- mathematics, a
Borel isomorphism is a
measurable bijective function between two
standard Borel spaces. By Souslin's
theorem in
standard Borel spaces (which...
- Eugène
Borel (17 June 1835 – 14 June 1892) was a
Swiss politician and
member of the
Swiss Federal Council (1872–1875). He was born in Neuchâtel to François-Victor...
- n-dimensional
Euclidean space Rn is
called a
Borel regular measure if the
following two
conditions hold:
Every Borel set B ⊆ Rn is μ-measurable in the sense...
